Free Boundary Value Problem for the One‐Dimensional Compressible Navier‐Stokes Equations with a Nonconstant Exterior Pressure

Ruxu Lian and Liping Hu

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We consider the free boundary value problem (FBVP) for one‐dimensional isentropic compressible Navier‐Stokes (CNS) equations with density‐dependent viscosity coefficient in the case that across the free surface stress tensor is balanced by a nonconstant exterior pressure. Under certain assumptions imposed on the initial data and exterior pressure, we prove that there exists a unique global strong solution which is strictly positive from blow for any finite time and decays pointwise to zero at an algebraic time‐rate.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/961014

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:961014

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().